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Two equal circles, O and Q of radius 8 intersect at X and Y. If OQ is 12, find the length of the common chord XY.
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|dw:1350122063261:dw|
let R be the intersection of OQ and XY R is midpoint of XY XQ = 8, RQ = 1/2 * 12 = 6 use pythagoras to Find length of XR XY = 2 XR
do you follow kmeds?
use right triangle properties.
XY and OQ are perpendicular.
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@cwrw238 \[8\sqrt{3}\] ? O_-
No...it's close...
|dw:1350122752013:dw|
oh no, hahaha. 64-36 lol
RQ^2 = 8^2 - 6^2 = 64-36 = 28
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4\sqrt{7}?\]
\[4\sqrt{7}\] ?
\[ XY=4\sqrt{7}\] if you got it correctly.
yea
i was thinking 4. lol so i did, 64-16. hahahaha xD thank you @NewbieCarrot & @cwrw238 !
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